As part of my waypoint following algorythem, I want my character to accellerate towards a waypoint untill it reaches a point (that should be half way) where it must start accellerateing in the opposite direction to stop in-time, landing on the waypoint.

My character has three Vector2D(double x, double y) vectors; position, velocity and acceleration.

what i'm asking here is how to calculate the stopping distance X for velocity V at acceleration A.

I know its somthing similar to v(end) = v(start) * 2/AX but i'm also sure that this is not it

I used to know all these formuli back at school - now I cant for the life of me remember what it is, and serching around on google has got me lots of equations that are either way too complicated (wikipedia ) or not anything I recognise.

if theres any math guys out there who can gove me some hints that would be great.

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